Exploring Properties of Exponents

What does the power rule in mathematics allow you to do?

• Add exponents when bases are multiplied

• Multiply exponents when a power is raised to another power

• Subtract exponents when dividing like bases

• None of the above

What is the simplified form of (y^4)^3?

• y^7

• y^11

• y^12

• y^8

If 'x' to the 5th power is raised to the 4th power, how many times is 'x' being multiplied?

• 25 times

• 20 times

• 40 times

• 9 times

How do you simplify the expression (2x^5)^4 using the power rule?

• None of the above

• 8x^20

• 16x^20

• 2^4 and x^20

What happens to a negative exponent when it is moved from the numerator to the denominator?

• It is eliminated

• It becomes positive

• It becomes zero

• It remains negative

If you have a fraction with a negative exponent in the numerator, where should the base move?

• It is eliminated

• None of the above

• It moves to the denominator

• It stays in the numerator

In the expression (4x^2)^-2, where does the base move when the exponent is negative?

• It becomes zero

• It stays in the numerator

• It moves to the denominator

• It disappears

In the expression n^-3 located in the denominator, where does 'n' move when simplified?

• It becomes zero

• It moves to the numerator

• It becomes one

• It stays in the denominator

What is the result of any base raised to the zero power?

• It becomes zero

• It becomes the base

• It becomes one

• It is undefined

What does the expression (12x^2/y^5)^0 simplify to?

• 1

• 12x^2/y^5

• y^5/12x^2

• 0